Question

In 2017, the population of Alaska was 73,795 people with an area of 663,300 square miles, this makes Alaska the state with the lowest population density. However, over 90% of the land in Alaskais protected federal property that is off-limits to settlement. If Alaska's population density is adjusted to include only the land area available for human settlement, what is the adjusted populationdensity of Alaska to the nearest 100 th?

Answer 1

1.11 people per square mile

Step-by-step explanation:

The area of Alaska = 663,300 square miles

Population of Alaska in 2017 = 73,795 people

If over 90% of the land in Alaska is protected federal property, the available land area is calculated below:

`\begin{gathered} \text{Available Land Area}=10\%\text{ of }663,300\; square\: miles \\ =0.1*663,300 \\ =66,330\text{ square miles} \end{gathered}`

Therefore, the adjusted population density of Alaska:

`\begin{gathered} \text{Population Density=}\frac{\text{Population}}{\text{Land Area}} \\ =(73,795)/(66,330) \\ =1.11\text{ people per square mile} \end{gathered}`

The adjusted population density of Alaska is 1.11 people per square mile (correct to the nearest hundredth).